The useful life X of a particular kind of machine is a random variable with density function

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where x is the number of years a randomly selected machine stays in use.

a. Find the probability that a randomly selected machine will be useful for more than 4 years.

b. Find the probability that a randomly selected machine will be useful for less than 5 years.

c. Find the probability that a randomly selected machine will be useful between 4 and 6 years.

d. What is the expected useful life of the machine?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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Question Posted: Jun 22, 2023 12:27 AM

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The useful life X of a particular kind of machine is a random variable with density function

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3 f(x) = 28 0 + 3 if 3 ≤ x ≤ 7 otherwise

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Calculus For Business, Economics And The Social And Life Sciences

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